Stable Numerical Schemes for Fluids, Structures and their Interactions
Autor: | Cornel Marius Murea |
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EAN: | 9780081023808 |
eBook Format: | PDF/ePUB |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 01.09.2017 |
Kategorie: | |
Schlagworte: | Computational Fluid Dynamics Computational Mechanics Fluid-Structure Interaction Mixed Finite Element Numerical Analysis |
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This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite element methods as well as new approaches.For Stokes and Navier-Stokes equations, the mixed finite element method is employed. An arbitrary Lagrangian Eulerian framework is used for fluids in a moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. For fluid-structure interaction, two schemes are analyzed: the first is fully implicit and the second is semi-implicit, where the fluid domain is computed explicitly and consequently the computational time is considerably reduced.The stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at Masters students in Mathematics or Mechanical Engineering. - Presents a self-contained monograph of schemes for fluid and elastic structures, including their interactions - Provides a numerical analysis of schemes for Stokes and Navier-Stokes equations - Covers dynamic linear and non-linear elasticity and fluid-structure interaction
Cornel Marius Murea is a lecturer at the University of Haute Alsace, France. His research area includes numerical analysis and scientific computing of fluid-structure interaction problems.
Cornel Marius Murea is a lecturer at the University of Haute Alsace, France. His research area includes numerical analysis and scientific computing of fluid-structure interaction problems.